0.4(n-48)=1.2n

Solution for 0.4(n-48)=1.2n equation:

Simplifying
0.4(n + -48) = 1.2n

Reorder the terms:
0.4(-48 + n) = 1.2n
(-48 * 0.4 + n * 0.4) = 1.2n
(-19.2 + 0.4n) = 1.2n

Solving
-19.2 + 0.4n = 1.2n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-1.2n' to each side of the equation.
-19.2 + 0.4n + -1.2n = 1.2n + -1.2n

Combine like terms: 0.4n + -1.2n = -0.8n
-19.2 + -0.8n = 1.2n + -1.2n

Combine like terms: 1.2n + -1.2n = 0.0
-19.2 + -0.8n = 0.0

Add '19.2' to each side of the equation.
-19.2 + 19.2 + -0.8n = 0.0 + 19.2

Combine like terms: -19.2 + 19.2 = 0.0
0.0 + -0.8n = 0.0 + 19.2
-0.8n = 0.0 + 19.2

Combine like terms: 0.0 + 19.2 = 19.2
-0.8n = 19.2

Divide each side by '-0.8'.
n = -24

Simplifying
n = -24